Chaotic oscillations of spacecraft with an elastic radially oriented tether

Aslanov V.S., Ledkov A.S. "Chaotic oscillations of spacecraft with an elastic radially oriented tether," Cosmic Research, 2012, Volume 50, Issue 2, pp. 188-198, Doi: 10.1134/S0010952512020013

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A mechanical system consisting of a spacecraft with weightless elastic tether and load is considered in the paper. The spacecraft motion under the action of tensile force of a radially oriented tether is investigated. It is shown that elastic tether oscillations can result in appearance of chaotic modes of spacecraft motion. By means of the Melnikov method a condition is obtained, allowing one to determine the measure of damping sufficient for prevention of these chaotic modes. The influence of system’s mass-geometric and elastic characteristics on the form of phase portrait and on the value of periodic disturbance, caused by oscillations of the elastic vertical tether, is studied.


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